The Cohesion UFT series develops the framework defined on the Framework page in formal detail. Papers are grouped by topic. Each title links to its Zenodo record, where the full PDF is available. The textbook listed under Books presents the series as a course, in one notation, with an executed record, a derivation index, an index of open quantities, and a reconciliation of the corpus as its appendices. The method by which the results are produced is stated in the method paper under Foundations and on the Methodology page. The quantities the series has named and not derived are posed as problems, with the terms of submission, under Open problems.

The Law of Causality

Causality is always intact. Cause always precedes effect. No physical process, at any scale, in any regime, reverses this order.

This law is not assumed — it is a consequence of the foundational axiom. Pressure flows from the containing scale to the contained scale, never the reverse. The causal order of the recursion cycle is fixed by the geometry and cannot run backward. The empirical record contains no exception: no causality violation has ever been recorded in any experiment, at any scale.

• The Law of Causality

Books

Two book-length presentations of the framework: a course text, and a popular-level introduction requiring no mathematical background.

• Cohesion Unified Field Theory: A Course in Computable Mechanics — the textbook; fifth version, November 2026, and the link resolves to the latest version of the record. The fifth version states the vantage principle in full, with light's dispersion relation and the de Broglie relation as its projections, adds tides as the change of the collapse gradient across a body, and carries the fourth version's identification of the recursion unit and reposing of the sixth problem. Twenty-two chapters in four parts: the foundation (the axiom, the three theorems, causality, energy and inertia), the machine (the operator chain, the funneled spring, slip, the binary toggle, structural time), the scale ladder (from the fine-structure constant through matter, gauge structure, measurement, light, gravitation, the galactic scale, cosmology, and the proton), and the applied register (macroscopic systems, computable mechanics, the parameter sheet, information). Appendices carry the executed record, the derivation index, the open quantities, and the corpus reconciliation. Assumes algebra, geometry, and secondary-school physics.
• Fantastical Physics: How Modern Physics Traded Mechanism for Myth — and the Operator Cycle That Brings It Back — the popular-level introduction, requiring no mathematical background.

Open problems

The series admits a derivation on one rule: a chain from the pressure axiom, through the operator sequence, to a quantity the framework computes, reported at its standing with its residual against measurement and with nothing fitted. The quantities the series has named and has neither derived nor fitted are indexed in Appendix C of the textbook; the paper below poses seven of them in full — what is given with its standing, what is required, the number the chain must return and the measured value it is held against, what moves in the record, what the rule excludes, and where the result is evaluated — and states the terms of submission. A derivation that meets the standard enters the series under its author's name, with its own record, and the quantity moves from open to derived. The problems and the current standing of each are kept on the Open problems page.

• Problems for Derivation: Seven Open Quantities of the Cohesion UFT, Posed as Chains from the Axiom

Foundations

Papers developing the foundational axiom, the three theorems, and the operator system.

• Universal Mechanics: A Formal Mechanical Framework for Matter, Motion, and Structure Across Scales
• The Axiomatic Axiom: Why Pressure Cannot Exist in Isolation
• Reverse Engineering Motion: The Method of the Cohesion UFT, from Pressure through the Mechanical Cycle to a Computed Quantity — the method paper: the series' method stated as a procedure, with the five primitives that make the mechanics computable and three cases of the record run in full; the Methodology page carries it.
• Cohesion: A Unified Field Theory of Matter and Motion — the master paper; fourth version, October 2026, adding the propagation function, the standings of the record, and the open problems.
• A Scale-Hierarchical Pressure Model of the Observable Universe
• The Pressurized Universe: Axioms, Consequences, and the Geometric Impossibility of Vacuum
• Scale Hierarchy and the Multiverse as Nested Recursion Domains
• The Scaling Cascade
• Dissecting Motion: The Foundation of Physics — the conceptual statement of the framework, subtitled The Axiom, the Operator Chain and the Three States of Recursion; second version, October 2026, and the link resolves to the latest version of the record: the six-stage operator chain and the three dynamic operators in the textbook's vocabulary, the three states by pole count with the photon as the free six-pole recursion, the electron as the trapped two-pole one and n = 1 as the captured state at a coherence node, and every quantity at its standing.
• The Grandfather Clock: The Cohesion UFT Operator Chain in Brass
• The Geometry of Motion
• The Vantage Principle: Oscillation, Spin and Wave as Rotation Seen from Outside Its Scale, with the Dispersion and de Broglie Relations as Projections — the principle the record uses throughout, stated as a corollary of the theorems of scale invariance and intrinsic rotation: three vantages on one funneled spring, the rate invariant across them, the resolution threshold at the Compton wavelength, and two relations of the standard account returned as projections rather than postulates, λν = c and λ = h/p.
• Slip Acceleration
• E = pr
• Cohesion UFT: Inertia = Pressure — A Derivation of Inertia from the Cohesion Unified Field Theory Axiom — second version, October 2026, and the link resolves to the latest version of the record: the identity I = p with its chain derivation and the equivalence theorem, the gravitational gradient at the sign the record adopts, the low-acceleration regime rebased on the surplus acceleration of the containing scale, and the identity closed at the electron.
• Structural Time
• The Recursion Unit: Seconds at the Electron Scale — the recursion unit identified from two closures of the record, the electron closure's length λ_C and the trapping condition's rate ω_C joined by the medium's rate c, as λ_C/c = 1.2881 × 10⁻²¹ s; the slip cadence of the fine-structure chain in seconds, 6.17 × 10⁻¹⁹ s; and the rule the identification instances, the coherence length of a scale over its propagation rate.
• Time: A Mechanical Ontology
• Thermodynamics as the Unifying Substrate
• Thermodynamics as Recursion Rate Redistribution
• Light as a Density-Bound Carrier: A Mechanical Reinterpretation of Propagation
• c as an Effect: The Emission Speed of Recursional Friction in a Pressure-Bound Universe
• Matter Formation as Trapped Recursion
• General Ontology
• The Quantum Field as a Continuous Recursion Medium
• Causality in the Quantum Field
• From Einstein's Conceptual Realism to Modern Mathematical Abstraction
• Forced Complexity Under Chaos: A Directional Paper on the Mathematical Extension of the Cohesion UFT
• Computable Mechanics: The Cohesion UFT as an Executable Framework

Recursion geometry

Papers developing the funneled-spring geometry and the binary recursion toggle.

• Hexagonal Recursion and the Six-Peak Slip Structure
• Derivation of the Fine-Structure Constant from Hexagonal Recursion Geometry
• The Binary Recursion Toggle
• The Unipolar State, Lagrange Points, and Tidal Locking Spin-Orbit Resonances as Pole Collapse in the Cohesion UFT
• The Exact Solution for R(Dst) from the Classical Recursion Field
• The Fine-Structure Constant and the Golden Angle: Funneled-Spring Recursion, the Slip Operator, and the Slip-Time Interpretation
• The Fine-Structure Constant from the Cohesion Unified Field Theory
• The Fine-Structure Constant Is the Coupling Between Scales
• The Photon-Electron Coupling Derivation and the Fine-Structure Constant

Standard Model derivations

Derivations of Standard Model structure, equations, and constants from Cohesion UFT recursion dynamics.

• Gauge Structure of the Standard Model from Torsion Phase Geometry
• The Standard Model Lagrangian from the Cohesion Unified Field Theory
• SU(2) from Bipolar Torsion Geometry
• The Weinberg Angle from SO(10) Recursion Closure Geometry
• The Born Rule from Torsion Density Measurement
• The Schrödinger Equation as a Limit Case of Cohesion UFT Recursion Dynamics
• Running Couplings and Grand Unification in the Cohesion Unified Field Theory
• The GUT Group from Recursion Closure Geometry: SO(10)
• Closure at the Unification Density: Replacing Standard-Model Symmetry with Recursion Closures at the GUT Scale
• The Electroweak Scale from Recursion Phase Separation
• Electroweak Symmetry as Recursive Phase Alignment
• Strong Interaction as Torsion Density Resonance
• Quark Confinement and Hadron Structure in the Cohesion Unified Field Theory
• Nuclear Binding Energies in the Cohesion Unified Field Theory
• Pointer State Completeness in the Cohesion Unified Field Theory
• Quantum Measurement as Structural Time Synchronization
• The Measurement Problem: A Scale-Ratio Analysis of Field Displacement
• Collapse of the Wave Function as Universal Operator of Perception
• The Dirac Equation from Bipolar Recursion Geometry
• Neutrino Mass and Oscillation in the Cohesion Unified Field Theory
• Torsion Interval Scaling Factors from the Pressure Cascade and Electromagnetic Coupling
• The Mass Spectrum in the Cohesion Unified Field Theory
• The Grand Unification Scale and Proton Decay in the Cohesion Unified Field Theory
• Recursive Spin-Field Entanglement
• Entanglement as Interaction

Gravitation and cosmology

Large-scale dynamics: rotation curves, cosmological behavior, and galactic-scale structures.

• The Cohesion UFT Rotation-Curve Law, Global Suppression, and the Radial Acceleration Relation
• Identifying Dgal from the MOND Transition
• The Cohesion UFT Research Calculator, Version 6.5: The Recursion Unit Identified, and the Sixth Problem Reposed — the standalone calculator and its companion paper, and the link resolves to the latest version of the record. Version 6.5 prints the recursion unit in seconds on the fine-structure module at the standing identified, with the slip cadence 6.17 × 10⁻¹⁹ s, and reposes the sixth problem at the lattice scale with the free-electron bound withdrawn; every value of the earlier versions is reproduced.
• Curvature as Motion-Generated Field Geometry
• Scaling General Relativity
• Gravity as Mechanical Attractor: A Surplus-Driven Framework for Density, Collapse, and Matter Formation — second version, October 2026, and the link resolves to the latest version of the record: the mechanism made exact as the collapse term in the pressure well a trapped recursion makes, matter identified with trapped recursion, and the record since the first version carried at its standings.
• Quantum Gravity as Pressure Curvature Recursion Response
• Perihelion Precession as Bipolar Recursion Collapse: The Cohesion UFT Derivation of the Precession Coefficient — second version, October 2026, and the link resolves to the latest version of the record: the coefficient 6 derived as 2 × 3 from the two recursion states at the toggle threshold, the threshold stated as the toggle's own definition with the route through Mercury kept, the Mercury figure corrected to 42.98″ against the measured 42.98″ from declared inputs, and a standing on every step.
• Gravitational Lensing as a Density-Gradient Phenomenon
• Black Holes as Recursion Collapse Pressure Wells
• The Cosmological Dynamic: From Constant to Rhythm
• Cosmic Inflation as Pressure Gradient Recursion Expansion
• Dark Energy as Residual Pressure Gradient Drift
• Fermi Bubbles as Galactic-Scale Cadence Cavities
• Wormholes as Pressure Bridge Recursion Channels

Applied and macroscopic systems

Applications of recursion dynamics to observable physical systems.

• Pulsars and Pulsing Objects as Recursion Gear-Shifts
• Tropical Cyclone Structural Integrity
• Vortex Closure: Navier–Stokes Regularity as Recursion Re-closure in the Cohesion UFT
• A Cohesion UFT Stability Classification of the Three-Body Problem
• Graphene at the Dirac Point
• A Child on a Swing: A Surplus-Driven Field Analysis

Computing and information

Applications of the framework to computation, information, and bit-carrier physics.

• Cohesion Computing
• Information as Structural Time Encoding
• Computation as Controlled Structural Time Manipulation
• The c-bit
• The Qubit as Metastable Recursion Deformation
• Magnetic Orientation as a Non-Electronic Bit